**Reference:**

L. Busoniu,
D. Ernst,
B. De Schutter, and
R. Babuska,
"Consistency of fuzzy model-based reinforcement learning,"
*Proceedings of the 2008 IEEE International Conference on Fuzzy
Systems (FUZZ-IEEE 2008)*, Hong Kong, pp. 518-524, June 2008.

**Abstract:**

Reinforcement learning (RL) is a widely used paradigm for learning
control. Computing exact RL solutions is generally only possible when
process states and control actions take values in a small discrete
set. In practice, approximate algorithms are necessary. In this paper,
we propose an approximate, model-based Q-iteration algorithm that
relies on a fuzzy partition of the state space, and on a
discretization of the action space. Using assumptions on the
continuity of the dynamics and of the reward function, we show that
the resulting algorithm is consistent, i.e., that the optimal solution
is obtained asymptotically as the approximation accuracy increases. An
experimental study indicates that a continuous reward function is also
important for a predictable improvement in performance as the
approximation accuracy increases.

Corresponding technical report: pdf file (537 KB)

@inproceedings{BusErn:08-005,

author={L. Bu{\c{s}}oniu and D. Ernst and B. {D}e Schutter and R. Babu{\v{s}}ka},

title={Consistency of fuzzy model-based reinforcement learning},

booktitle={Proceedings of the 2008 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2008)},

address={Hong Kong},

pages={518--524},

month=jun,

year={2008}

}

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